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Finding the Third Proportional to 87,666 and 142,431

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Solution

The third proportional to 87,666 and 142,431 is: 231,407.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,666 : 142,431 = 142,431 : x
  2. Step 2: Convert to fraction form
    87,666/142,431 = 142,431/x
  3. Step 3: Cross multiply
    87,666x = 142,431 × 142,431
  4. Step 4: Simplify right side
    87,666x = 20,286,589,761
  5. Step 5: Solve for x
    x = 20,286,589,761/87,666
  6. Step 6: Final answer
    x = 231,407.73

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.